Just coming to the end of a 12 day trip round Bulgaria and Romania, and some of the places I didn't get to but would love to are Sibiu, Sighisoara, Plovdiv and Nessebar.
Remarkably clean and tidy countries with a low police presence, little unpleasant "city smell" (Paris) and surprisingly low amount of begging. I've been begged to once on an outside terrace once in the entire time I've been here - on a street terrace in London it will invariably happen to you on every single occasion.